Current and Voltage of Elements of a Circuit with a Solenoid.

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The discussion focuses on solving a circuit problem involving a solenoid, where the voltage of the battery is 5V and resistors are 5 Ohms with no internal resistance in the solenoid. Key calculations include determining the voltage across R_2, which is 5V, and the current through the solenoid and resistors immediately after the switch is opened, both of which are 1 A. The voltage drop across the resistors remains 5V, and if R_1 were 5 Mohms, the voltage would be 5*10^6 V while maintaining the same current. The participant expresses initial confusion about the solenoid's effects but ultimately confirms their calculations were correct, highlighting the educational value of the problem. The discussion emphasizes the importance of understanding solenoid behavior in circuit analysis.
Thadis
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Ended up figuring out how to solve this problem. I just was not expecting certain parts of the results which lead me to believe I did it wrong.

Homework Statement



2R_switch_2.jpg


Voltage of battery is 5V
Resistors are 5 Ohms
The solenoid has no internal resistance

1.Need to find V_2 before switch is opened
2.The current through the solenoid right after the switch has been opened.
3. The current through R_2 and R_1 right after the switch has been opened.
4. Voltage across R_1 right after the switch has been opened.
5. Voltage across R_1 if it was 5 Mohms right after the switch has been opened.

Homework Equations


V=IR
Kirchhoff's Loop Rule

That a solenoid will want to resist any change in current.

The Attempt at a Solution


1. The voltage across R_2 will be 5V because the loop that consists of the switch and resistor has to have a voltage drop of 5 V and the resistor is the only element with a voltage drop on that loop.

2. The current through the solenoid right after the switch is open will be 1 A as the solenoid will want to keep the same current as before.

3. 1 A as the current will be same as the solenoid.

4. The voltage drop across both of the resistors will be 5 V. The solenoid will add additional voltage to create the greater voltage.

5. 5*10^6 V as the current will still be 1 A.I know I probably have flawed logic in here somewhere though I just do not know exactly how a solenoid will effect this circuit after the switch is thrown.
 
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Are you interested in these various V's and i's just after the switch is opened, or for all time after the switch is opened?
 
Just after the switch has been opened. Sorry thought I put that in the questions but I must of missed putting that there.
 
Thadis said:
Just after the switch has been opened. Sorry thought I put that in the questions but I must of missed putting that there.

Everything is correct. Congrats!
 
Yeah I ended up getting the answers back and I got a happy surprise when I saw that I was correct. I guess that's why they put the question in the post lab, to show how solenoids can do this.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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